What is the direct variation equation if y varies directly with x and y = –6 when x = –36? A.y=-6x B.y= 1/6x C.y=6x D.y=-1/6x

Question

anonymous · Answer

@sammixboo

anonymous · Answer

@bibby  @DanJS

danjs · Answer

Y varies directly with x. $$y ~\alpha ~x$$
y = k*x

Given (x,y) = (-36 , -6).

Put those into the direct variation, and calculate the constant k.

danjs · Answer

A direct variation, y=k*x , is an equation for a line that goes through the origin, (0,0)

danjs · Answer

And in this case, also through the point (x,y) = (-36, -6).

anonymous · Answer

if im following you  right and if im doing my math right  it should be C?

danjs · Answer

$$-6 = k*-36$$
$$k = \frac{ -6 }{ -36 } = \frac{ 1 }{ 6 }$$

danjs · Answer

$$y = \frac{ 1 }{ 6 }x$$

anonymous · Answer

Ah ha thanks so much ^.^

danjs · Answer

You just mixed up the x and y, that is what C is, if you plug them in backwards.

anonymous · Answer

yea thats what i figured but thanks i will tag you if i need more help

danjs · Answer

ok